TSTP Solution File: GEO231+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:23:10 EDT 2024

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   36 (  14 unt;   0 def)
%            Number of atoms       :   88 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   90 (  38   ~;  27   |;  17   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   51 (  45   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f153,plain,
    $false,
    inference(avatar_sat_refutation,[],[f151,f152]) ).

fof(f152,plain,
    ~ spl3_2,
    inference(avatar_split_clause,[],[f142,f76]) ).

fof(f76,plain,
    ( spl3_2
  <=> unequally_directed_lines(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f142,plain,
    ~ unequally_directed_lines(sK1,sK2),
    inference(unit_resulting_resolution,[],[f52,f46,f115,f50]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
      | ( unequally_directed_lines(X0,reverse_line(X2))
        & unequally_directed_lines(X0,X2) )
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
      | ( unequally_directed_lines(X0,reverse_line(X2))
        & unequally_directed_lines(X0,X2) )
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( ( unequally_directed_lines(X1,reverse_line(X2))
          & unequally_directed_lines(X1,X2) )
        | ( unequally_directed_lines(X0,reverse_line(X2))
          & unequally_directed_lines(X0,X2) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X2,X5] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
     => ( ( unequally_directed_lines(X2,reverse_line(X5))
          & unequally_directed_lines(X2,X5) )
        | ( unequally_directed_lines(X1,reverse_line(X5))
          & unequally_directed_lines(X1,X5) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.iS3vDyWtLT/Vampire---4.8_23599',oag7) ).

fof(f115,plain,
    ~ unequally_directed_lines(sK2,reverse_line(sK1)),
    inference(unit_resulting_resolution,[],[f53,f57,f51]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X2,X5] :
      ( unequally_directed_lines(X1,X2)
     => ( unequally_directed_lines(X2,X5)
        | unequally_directed_lines(X1,X5) ) ),
    file('/export/starexec/sandbox/tmp/tmp.iS3vDyWtLT/Vampire---4.8_23599',oag6) ).

fof(f57,plain,
    ~ unequally_directed_lines(reverse_line(sK1),sK0),
    inference(unit_resulting_resolution,[],[f52,f44,f51]) ).

fof(f44,plain,
    ~ unequally_directed_lines(sK0,reverse_line(sK1)),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ? [X0,X1,X2] :
      ( unequally_directed_lines(X1,reverse_line(X2))
      & ~ unequally_directed_lines(X0,X2)
      & ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ? [X0,X1,X2] :
      ( unequally_directed_lines(X1,reverse_line(X2))
      & ~ unequally_directed_lines(X0,X2)
      & ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2] :
        ( ( ~ unequally_directed_lines(X0,X2)
          & ~ unequally_directed_lines(X0,reverse_line(X1)) )
       => ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X2,X5] :
        ( ( ~ unequally_directed_lines(X1,X5)
          & ~ unequally_directed_lines(X1,reverse_line(X2)) )
       => ~ unequally_directed_lines(X2,reverse_line(X5)) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X1,X2,X5] :
      ( ( ~ unequally_directed_lines(X1,X5)
        & ~ unequally_directed_lines(X1,reverse_line(X2)) )
     => ~ unequally_directed_lines(X2,reverse_line(X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.iS3vDyWtLT/Vampire---4.8_23599',con) ).

fof(f53,plain,
    ~ unequally_directed_lines(sK2,sK0),
    inference(unit_resulting_resolution,[],[f52,f45,f51]) ).

fof(f45,plain,
    ~ unequally_directed_lines(sK0,sK2),
    inference(cnf_transformation,[],[f39]) ).

fof(f46,plain,
    unequally_directed_lines(sK1,reverse_line(sK2)),
    inference(cnf_transformation,[],[f39]) ).

fof(f52,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.iS3vDyWtLT/Vampire---4.8_23599',oag5) ).

fof(f151,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | spl3_2 ),
    inference(subsumption_resolution,[],[f143,f124]) ).

fof(f124,plain,
    ( ~ unequally_directed_lines(reverse_line(sK2),reverse_line(sK1))
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f78,f52,f65,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,reverse_line(X2))
      | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f65,plain,
    unequally_directed_lines(reverse_line(sK2),sK1),
    inference(unit_resulting_resolution,[],[f52,f46,f51]) ).

fof(f78,plain,
    ( ~ unequally_directed_lines(sK1,sK2)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f143,plain,
    ( unequally_directed_lines(reverse_line(sK2),reverse_line(sK1))
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f90,f115,f51]) ).

fof(f90,plain,
    ( unequally_directed_lines(reverse_line(sK2),sK2)
    | spl3_2 ),
    inference(unit_resulting_resolution,[],[f46,f78,f51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO231+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 19:14:10 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.iS3vDyWtLT/Vampire---4.8_23599
% 0.56/0.75  % (23862)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.75  % (23856)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75  % (23858)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (23859)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75  % (23860)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75  % (23857)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.75  % (23861)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75  % (23862)First to succeed.
% 0.56/0.75  % (23859)Also succeeded, but the first one will report.
% 0.56/0.75  % (23863)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.76  % (23862)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Theorem for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (23862)------------------------------
% 0.56/0.76  % (23862)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (23862)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (23862)Memory used [KB]: 1068
% 0.56/0.76  % (23862)Time elapsed: 0.003 s
% 0.56/0.76  % (23862)Instructions burned: 7 (million)
% 0.56/0.76  % (23862)------------------------------
% 0.56/0.76  % (23862)------------------------------
% 0.56/0.76  % (23852)Success in time 0.381 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------